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Quasi-Exactly Solvable Time-Dependent Hamiltonians
Université du Burundi, Institut de Pédagogie Appliquée, Bujumbura, Burundi
- 1 Université du Burundi, Institut de Pédagogie Appliquée, Bujumbura, Burundi
Open Journal of Microphysics·Volume 04 (2014)·Pages 26–34·Published 25 August 2014·DOI10.4236/ojm.2014.43005
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Abstract
A generalized method which helps to find a time-dependent Schr Ö dinger equation for any static potential is established. We illustrate this method with two examples. Indeed, we use this method to find the time-dependent Hamiltonian of quasi-exactly solvable Lamé equation and to construct the matrix 2 × 2 time-dependent polynomial Hamiltonian.
KeywordsQuasi-Exactly SolvableTime-Dependent Hamiltonian
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